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• W2477515503 abstract "Rough set theory is one of the most advanced areas popularizing GrC. The basic notions in rough set theory are the lower and upper approximation operators. A rough set algebra is a set algebra with two additional lower and upper approximation operators. In this chapter, we analyze relation based rough set algebras in both crisp and fuzzy environments. We first review the constructive definitions of generalized crisp rough approximation operators, rough fuzzy approximation operators, and fuzzy rough approximation operators. We then present the essential properties of the corresponding lower and upper approximation operators. We also characterize the approximation operators by using the axiomatic approach. Finally, the connection between fuzzy rough set algebras and fuzzy topological spaces is established." @default.
• W2477515503 created "2016-08-23" @default.
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• W2477515503 date "2010-01-01" @default.
• W2477515503 modified "2023-09-23" @default.
• W2477515503 title "On Characterization of Relation Based Rough Set Algebras" @default.
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• W2477515503 doi "https://doi.org/10.4018/978-1-60566-324-1.ch004" @default.
• W2477515503 hasPublicationYear "2010" @default.
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